A low F-number and 100% cold stop efficiency are beneficial for
improving the performance of optical systems and have a wide range of
applications in various thermal imaging scenarios. The cooled infrared
coaxial four-mirror system can meet these two requirements, improve
system integration, and reduce adjustment costs and difficulties.
However, the secondary obstruction caused by the central hole of the
third mirror will generate potential stray light. A structure model is
proposed in which the primary mirror and the quaternary mirror are
processed on the same mirror blank. In this model, a method is given
to calculate system parameters using the obstruction ratio and
magnification of each mirror. To evaluate the performance of the
method, two design examples with different F-numbers (1.4, 1.0) were
constructed. The influence of initial structural constraints on the
exit pupil position and secondary obstruction was analyzed based on
the design objectives of the examples. The aberrations were optimized
by targeting the spot. In the optimization process, the incident
coordinates and directions of the restricted edge field rays in the
tertiary mirror and the quaternary mirror were limited to achieve
control of the obstruction caused by the holes in the center of the
mirrors. In the results, the RMS spot radius of the two design
examples is smaller than the Airy disk radius, and the axial beam
wavefront deviation RMS values are 0.026λ and 0.024λ, respectively. Moreover, the
obstruction caused by the central holes of the mirrors is controlled
within the given field of view. The results show that the proposed
model and method can be used to design a low F-number cooled infrared
coaxial four-mirror system and have good application prospects.